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Calculus and Optimization for Machine Learning
Week 2
Practice Quiz #2

Practice QuizPractice Quiz • 30 min30 minutes

Practice Quiz #2

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Practice Quiz #2

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Practice Quiz #2

Total points 2

1.

Question 1

Choose all correct statements about asymptotic ( $n \to \infty$ ):

1 / 1 point

$n = o(\ln^{100} n)$

$n^k = O((1+\varepsilon)^n)$ , $\varepsilon>0$

Correct

Correct!

$\log_a n=O(\ln n)$

Correct

Correct!

$n^k = o((1+\varepsilon)^n)$

Correct

Correct!

2.

Question 2

Consider arithmetic of polynomial asymptotic. Choose the incorrect expression:

1 / 1 point

$x^n o(x^m)=o(x^{n+m}), \; x\to 0$

$O(x^n)+O(x_m)=O(x^n), \; x\to+\infty\; n>m$

$o(x^n)+o(x^m)=O(x^n), \; x\to+\infty\; n>m$

$o(x^n)+O(x_m)=O(x^m), \; x\to 0\; n>m$

Correct

That's it!